3628676337 has 32 divisors (see below), whose sum is σ = 5693708160. Its totient is φ = 2026590720.

The previous prime is 3628676327. The next prime is 3628676347. The reversal of 3628676337 is 7336768263.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3628676327) and next prime (3628676347).

It is not a de Polignac number, because 3628676337 - 2⁷ = 3628676209 is a prime.

It is a super-3 number, since 3×3628676337³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3628676337.

It is not an unprimeable number, because it can be changed into a prime (3628676327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257839 + ... + 271547.

It is an arithmetic number, because the mean of its divisors is an integer number (177928380).

Almost surely, 2^3628676337 is an apocalyptic number.

It is an amenable number.

3628676337 is a deficient number, since it is larger than the sum of its proper divisors (2065031823).

3628676337 is a wasteful number, since it uses less digits than its factorization.

3628676337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14353.

The product of its digits is 4572288, while the sum is 51.

The square root of 3628676337 is about 60238.4954742397. The cubic root of 3628676337 is about 1536.6775418496.

The spelling of 3628676337 in words is "three billion, six hundred twenty-eight million, six hundred seventy-six thousand, three hundred thirty-seven".